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8.8: Problem-Solving Strategies (reprise Make a Table; Look for a Pattern)

Difficulty Level: At Grade Created by: CK-12
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Learning Objectives

At the end of this lesson, students will be able to:

  • Read and understand given problem situations.
  • Make tables and identify patterns.
  • Solve real-world problems using selected strategies as part of a plan.

Vocabulary

Terms introduced in this lesson:

compound interest
population decrease
intensity (loudness) of sound

Teaching Strategies and Tips

Remind students of the four-step problem-solving plan.

In Example 1, students must find the compound interest formula on their own by looking for a pattern. Guide them through the first two years until the pattern becomes evident.

Have students check their answers to the examples presented in this lesson by finding \begin{align*}b\end{align*}, the growth or decay rate, instead of looking for a pattern. Have them compute \begin{align*}(x \%) A + A = \left ( 1 + \frac{x} {100} \right )A\end{align*}. The method was presented in Examples 6 and 7 in lesson Exponential Growth Functions.

Encourage students to construct tables and look for patterns in Review Questions 1-4. Suggest that they only check their work using explicit formulas.

Error Troubleshooting

In Review Questions 1-4, remind students to convert the percents to decimals.

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CK.MAT.ENG.TE.1.Algebra-I.8.8